Question

What is the value of $e^{-\infty }$?

Answer 1

Solution.

The value of $e^{-\infty }$ is computed as,

$$\begin{gathered} e^{-\infty }=\frac{1}{e^{\infty }} \\ \Rightarrow =\frac{1}{\infty }\left[\because e^{\infty }=\infty \right] \\ \Rightarrow =0\left[\because \frac{1}{\infty }=0\right] \end{gathered}$$

Hence, the value of $e^{-\infty }$ is $0$.